Reflection and Congruence Questions and Answers

Reflection and Congruence Questions

1.  Given that A’ (3, -3) is the image of A (-1, -5) under a reflection. Find the equation of the mirror line in the form of (4 mks)

2.  Three planes A, B and C leave an airport P simultaneously at 9.30a.m. Plane A flies on

a bearing of 070^o from P at a speed of 400km/h. Plane B flies on a bearing of 290^oat a

speed of 500km/h. Plane C flies on a bearing of 162^o from P at a speed of 300km/h.

(Use scale drawing for this question)

 (a) Show by scale drawing, the relative positions of the 3planes A, B and C three hours

after leaving airport P. (Use scale 1cm represents 200km)  

 (b) After 3 hours, B turns and head straight to the current position of A at the same

speed it had. Determine the scale drawing , the time it takes to reach this point, to

the nearest minute  

 (c) Determine the bearing and distance of B from C after the first 3 hours of flight after

leaving P

Reflection and congruence Answers

1.  (a)  Dist. traveled in 3hrs s. drawing

Plane A – 400 x 3 = 1200km – cm

Plane B – 500 x 3 – 7.5cm

Plane C – 300 x 3 = 900km – 4.5cm

(b) Dist. BA = 12.8 0.1 x 200 = 2560km 20km

T = D = 2560 hrs

  S 500

= 5.12hrs of 5hrs, 7.2mns

 5hrs, 7min (nearest min)

(c) Bearing of B from C = 360^o – 20^o = 340^o

 Dist. BC = (10.9  0.1 x 200)km

= 2180km  20km

1. Rotation
   

1.  V.S.F = 3³ : 5³ = 27 : 125

Volume of larger tank = 8.1 x 125

27

= 37.5m³